참고문헌
- T. Durante and A. Rhandi, On the essential self-adjointness of Ornstein-Uhlenbeck operators perturbed by inverse-square potentials, Discrete Contin. Dyn. Syst. Ser. S 6 (2013), no. 3, 649-655. https://doi.org/10.3934/dcdss.2013.6.649
- K.-J. Engel and R. J. Nagel, One-parameter semigroups for linear evolution equations, Graduate Texts in Mathematics, 194, Springer, New York, 2000.
- S. Fornaro and A. Rhandi, On the Ornstein Uhlenbeck operator perturbed by singular potentials in Lp-spaces, Discrete Contin. Dyn. Syst. 33 (2013), no. 11-12, 5049-5058. https://doi.org/10.3934/dcds.2013.33.5049
- T. Kojima and T. Yokota, Generation of analytic semigroups by generalized OrnsteinUhlenbeck operators with potentials, J. Math. Anal. Appl. 364 (2010), no. 2, 618-629. https://doi.org/10.1016/j.jmaa.2009.10.028
- G. Metafune, J. Pruss, A. Rhandi, and R. Schnaubelt, The domain of the OrnsteinUhlenbeck operator on an Lp-space with invariant measure, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 1 (2002), no. 2, 471-485.
- G. Metafune, J. Pruss, R. Schnaubelt, and A. Rhandi, Lp-regularity for elliptic operators with unbounded coefficients, Adv. Differential Equations 10 (2005), no. 10, 1131-1164
- I. Metoui, On the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted L2 -spaces, Proyecciones 41 (2022), no. 4, 941-948. https://doi.org/10.22199/issn.0717-6279-5290
- I. Metoui and S. Mourou, An Lp-theory for generalized Ornstein-Uhlenbeck operators with nonnegative singular potentials, Results Math. 73 (2018), no. 4, Paper No. 157, 21 pp. https://doi.org/10.1007/s00025-018-0918-2
- N. Okazawa, On the perturbation of linear operators in Banach and Hilbert spaces, J. Math. Soc. Japan 34 (1982), no. 4, 677-701. https://doi.org/10.2969/jmsj/03440677
- N. Okazawa, An Lp theory for Schrodinger operators with nonnegative potentials, J. Math. Soc. Japan 36 (1984), no. 4, 675-688. https://doi.org/10.2969/jmsj/03640675
- N. Okazawa, Lp-theory of Schrodinger operators with strongly singular potentials, Japan. J. Math. (N.S.) 22 (1996), no. 2, 199-239. https://doi.org/10.4099/math1924.22.199
- M. Sobajima and T. Yokota, A direct approach to generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators in weighted Lp spaces, J. Math. Anal. Appl. 403 (2013), no. 2, 606-618. https://doi.org/10.1016/j.jmaa.2013.02.054